<html><body><div style="color:#000; background-color:#fff; font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif;font-size:16px"><div><span>John</span></div><div dir="ltr" id="yui_3_16_0_1_1430371785536_24505"><span style="color: rgb(31, 73, 125); font-family: Calibri, sans-serif; font-size: 14.583333015441895px;" class=""><br></span></div><div dir="ltr" id="yui_3_16_0_1_1430371785536_24505"><font size="3"><span style="font-family: Calibri, sans-serif;" class="" id="yui_3_16_0_1_1430371785536_24504">Adrian Rossiter’s</span><span style="font-family: Calibri, sans-serif;" class="" id="yui_3_16_0_1_1430371785536_24506"> torus animations is a good find.</span><span><br></span></font></div><div dir="ltr" id="yui_3_16_0_1_1430371785536_24505"><span style="font-family: Calibri, sans-serif;" class=""><font size="3"><br></font></span></div><div dir="ltr" id="yui_3_16_0_1_1430371785536_24505"><span style="font-family: Calibri, sans-serif;" class="" id="yui_3_16_0_1_1430371785536_24545"><font size="3">David</font></span></div><br> <blockquote style="border-left: 2px solid rgb(16, 16, 255); margin-left: 5px; margin-top: 5px; padding-left: 5px;" id="yui_3_16_0_1_1430371785536_24511"> <div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 16px;" id="yui_3_16_0_1_1430371785536_24510"> <div style="font-family: HelveticaNeue, Helvetica Neue, Helvetica, Arial, Lucida Grande, sans-serif; font-size: 16px;" id="yui_3_16_0_1_1430371785536_24509"> <div dir="ltr" id="yui_3_16_0_1_1430371785536_24508"> <hr size="1" id="yui_3_16_0_1_1430371785536_24507"> <font size="2" face="Arial" id="yui_3_16_0_1_1430371785536_24530"> <b><span style="font-weight:bold;">From:</span></b> John Duffield <johnduffield@btconnect.com><br> <b><span style="font-weight: bold;">To:</span></b> 'Nature of Light and Particles - General Discussion' <general@lists.natureoflightandparticles.org> <br> <b><span style="font-weight: bold;">Sent:</span></b> Thursday, April 30, 2015 12:12 AM<br> <b><span style="font-weight: bold;">Subject:</span></b> Re: [General] Electron<br> </font> </div> <div class="y_msg_container" id="yui_3_16_0_1_1430371785536_24531"><br><div id="yiv6108028943"><style><!--
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--></style><div id="yui_3_16_0_1_1430371785536_24534"><div class="yiv6108028943WordSection1" id="yui_3_16_0_1_1430371785536_24533"><div class="yiv6108028943MsoNormal" id="yui_3_16_0_1_1430371785536_24532"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">Martin:</span></div><div class="yiv6108028943MsoNormal" id="yui_3_16_0_1_1430371785536_24535"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal" id="yui_3_16_0_1_1430371785536_24537"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;" id="yui_3_16_0_1_1430371785536_24536">No probs re mass and gravity. It’s good to talk. And if there was never any confusion, and we all agreed about everything, whatever would we talk about?</span></div><div class="yiv6108028943MsoNormal" id="yui_3_16_0_1_1430371785536_24543"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal" id="yui_3_16_0_1_1430371785536_24538"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">David:</span></div><div class="yiv6108028943MsoNormal" id="yui_3_16_0_1_1430371785536_24539"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal" id="yui_3_16_0_1_1430371785536_24541"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;" id="yui_3_16_0_1_1430371785536_24540">I don’t have any issues with the horn torus or spindle-sphere torus. In a previous email I’ve referred to “inflating” the ring torus through these stages. See Adrian Rossiter’s <a rel="nofollow" target="_blank" href="http://www.antiprism.com/album/860_tori/index.html" id="yui_3_16_0_1_1430371785536_25385">antiprism</a> for torus animations. See Martin’s picture below? Look at the cut end, it’s a bit like a slice of onion. Mentally add more onion rings around those that are already there, and the torus gets more and more spherical. </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"><img border="0" width="328" height="272" id="yiv6108028943Picture_x0020_2" src="cid:dw5ckJ6t48uFrHPaNoeO" data-id="554a83d2-b26c-c542-4b68-fcd439021bfa"></span><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"></span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">There is no charge at the centre. The charge is the twist, the winding, the knottedness, the vorticity. Undo it with the opposite twist, and instead of two field variations going round at c looking like standing fieldall, you’ve got two field variations moving linearly at c.</span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">Chip:</span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">Is there any chance you could animate a wave in space, like this?</span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"><img border="0" width="640" height="157" id="yiv6108028943Picture_x0020_3" src="cid:4avj0b1ik8SK7UQ1ldvf" data-id="16a2916b-02d4-45c0-0253-c3cd7f90f3f1"></span><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"></span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">It’s a bit like a wave in a rubber mat, or a seismic wave. Only this is a wave of electromagnetic four-potential. The spatial derivative of this gives the sinusoidal electric waveform, and the time-derivative gives the sinusoidal magnetic waveform. See the horizontal lines? Where the tilt is steepest the electric sine wave is highest. Where the tilting is fastest is where the magnetic sine wave is highest. L</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#666666;">ook at </span><u><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#0033CC;"><a rel="nofollow" target="_blank" href="http://en.wikipedia.org/wiki/Electromagnetic_radiation"><span style="color:#0033CC;">electromagnetic radiation</span></a></span></u><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#666666;"> on Wiki. Read the <a rel="nofollow" target="_blank" href="http://en.wikipedia.org/wiki/Electromagnetic_radiation#Derivation_from_electromagnetic_theory">Derivation From Electromagnetic Theory</a> </span><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F4E79;">section, and you’ll see this: <em><span style="font-family:"Calibri", sans-serif;">“the curl operator on one side of these equations results in first-order spatial derivatives of the wave solution, while the time-derivative on the other side of the equations, which gives the other field, is first order in time”</span></em>. </span><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F4E79;"> </span><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F4E79;">After that I’d be very interested in an animation where two such waves pass each other and displace each other’s path, so much so that each wave ends up moving through itself. </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;"> </span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">Regards</span></div><div class="yiv6108028943MsoNormal"><span style="font-size:11.0pt;font-family:"Calibri", sans-serif;color:#1F497D;">John D</span></div></div></div></div><br>_______________________________________________<br>If you no longer wish to receive communication from the Nature of Light and Particles General Discussion List at <a ymailto="mailto:davidmathes8@yahoo.com" href="mailto:davidmathes8@yahoo.com">davidmathes8@yahoo.com</a><br><a href="<a href="http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/davidmathes8%40yahoo.com?unsub=1&unsubconfirm=1" target="_blank">http://lists.natureoflightandparticles.org/options.cgi/general-natureoflightandparticles.org/davidmathes8%40yahoo.com?unsub=1&unsubconfirm=1</a>"><br>Click here to unsubscribe<br></a><br><br><br></div> </div> </div> </blockquote> </div></body></html>